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Note on the summational invariant and corresponding local Maxwellian for the Enskog equation

2023/12/05 by Shigeru Takata, Takata, Shigeru, Aoto Takahashi +1
Physics and Astronomy · Engineering · #Advanced Thermodynamics and Statistical Mechanics #Fluid Dynamics and Turbulent Flows #Thermoelastic and Magnetoelastic Phenomena

paper · doi:10.48550/arxiv.2312.03183

Abstract

The summational invariant and the corresponding local Maxwellian that are compatible with the Enskog equation are discussed, with special interest in the presence of a boundary. The local Maxwellian corresponding to the summational invariant is restrictive compared to the case of the Boltzmann equation in the sense that a radial flow and time-dependent temperature are forbidden. However, a rigid body rotation with a constant angular velocity is admitted as in the case of the Boltzmann equation. The influence of the presence of a boundary is also discussed in simple situations.

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